206238320 has 80 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 79871232.

The previous prime is 206238313. The next prime is 206238337. The reversal of 206238320 is 23832602.

It is a happy number.

It is a Cunningham number, because it is equal to 14361²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 206238320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574301 + ... + 574659.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^206238320 is an apocalyptic number.

206238320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

206238320 is an abundant number, since it is smaller than the sum of its proper divisors (288730000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206238320 is a wasteful number, since it uses less digits than its factorization.

206238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 206238320 is about 14360.9999651835. Note that the first 4 decimals coincide. The cubic root of 206238320 is about 590.8217220083.

The spelling of 206238320 in words is "two hundred six million, two hundred thirty-eight thousand, three hundred twenty".